The shifted fourth moment of automorphic L-functions of prime power level

• Autorzy: Olga Balkanova
• Języki publikacji: EN

Abstrakty

EN

We prove an asymptotic formula for the fourth moment of automorphic L-functions of level $p^{ν}$, where p is a fixed prime number and ν → ∞. This is a continuation of work by Rouymi, who computed the asymptotics of the first three moments at a prime power level, and a generalization of results obtained for a prime level by Duke, Friedlander & Iwaniec and Kowalski, Michel & VanderKam.

Kategorie tematyczne

• 11F67: Special values of automorphic L -series, periods of modular forms, cohomology, modular symbols
• 11M50: Relations with random matrices
• 11F11: Holomorphic modular forms of integral weight

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2016
• Tom: 174
• Numer: 2
• Strony: 121-174

Daty

wydano

2016

Twórcy

autor

Olga Balkanova

• Institut de Mathématiques de Bordeaux, Université de Bordeaux, 351 cours de la Liberation, 33405 Talence Cedex, France

Identyfikatory

DOI

10.4064/aa8165-4-2016